Using log table, evaluate (1.487^3-1)/(1 487^3+1)
log 1.487^3 = 3 log 1.487 = 0.5169
10^0.5169 = 3.288
so that gives you
2.288/4.288 = 0.5336
To evaluate the expression using logarithm table, we can follow these steps:
Step 1: Convert the given expression to its logarithmic form.
Let's assume that the base of the logarithm is 10.
The expression (1.487^3 - 1) can be written as log(1.487^3 - 1).
Similarly, the expression (1 487^3 + 1) can be written as log(1 487^3 + 1).
Step 2: Use the properties of logarithms to simplify the expression.
Using the property log(a - b) = log(a) + log(1 - b/a), we can rewrite the expression as:
log(1.487^3) - log(1 + 1/1 487^3).
Step 3: Use the logarithm table to find the logarithmic values.
We need to find log(1.487) and log(1 487^3).
Using the logarithm table, we find that log(1.487) = 0.1713 (approximately).
Similarly, log(1 487) = 3.1713 (approximately).
Step 4: Substitute the values back into the expression.
Substituting the values, we get:
0.1713^3 - log(1 + 1/1 487^3).
Step 5: Calculate the final result.
Using a calculator, we can calculate the values:
0.1713^3 ≈ 0.005149.
log(1 + 1/1 487^3) ≈ log(1.000000069), which is approximately zero. (As the value inside the logarithm is very close to 1, the logarithm from the table will be almost zero.)
So, our final result is approximately 0.005149 - 0, which gives us approximately 0.005149.